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Finding the Fourth Proportional to 8,295.30, 12,448.16 and 3,364.96

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Solution

The fourth proportional to 8,295.30, 12,448.16 and 3,364.96 is: 5,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.30 : 12,448.16 = 3,364.96 : x
  2. Step 2: Convert to fraction form
    8,295.30/12,448.16 = 3,364.96/x
  3. Step 3: Cross multiply
    8,295.30x = 12,448.16 × 3,364.96
  4. Step 4: Simplify right side
    8,295.30x = 41,887,560.47
  5. Step 5: Solve for x
    x = 41,887,560.47/8,295.30
  6. Step 6: Final answer
    x = 5,049.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.